학술논문
The Atacama Cosmology Telescope: DR6 Gravitational Lensing and SDSS BOSS cross-correlation measurement and constraints on gravity with the $E_G$ statistic
Document Type
Working Paper
Author
Wenzl, Lukas; An, Rui; Battaglia, Nick; Bean, Rachel; Calabrese, Erminia; Chen, Shi-Fan; Choi, Steve K.; Darwish, Omar; Dunkley, Jo; Farren, Gerrit S.; Ferraro, Simone; Guan, Yilun; Harrison, Ian; Kim, Joshua; Louis, Thibaut; MacCrann, Niall; Madhavacheril, Mathew S.; Marques, Gabriela A.; Mehta, Yogesh; Niemack, Michael D.; Qu, Frank J.; Sehgal, Neelima; Shaikh, Shabbir; Sherwin, Blake D.; Sifón, Cristóbal; van Engelen, Alexander; Wollack, Edward J.
Source
Subject
Language
Abstract
We derive new constraints on the $E_G$ statistic as a test of gravity, combining the CMB lensing map estimated from Data Release 6 (DR6) of the Atacama Cosmology Telescope with SDSS BOSS CMASS and LOWZ galaxy data. We develop an analysis pipeline to measure the cross-correlation between CMB lensing maps and galaxy data, following a blinding policy and testing the approach through null and consistency checks. By testing the equivalence of the spatial and temporal gravitational potentials, the $E_G$ statistic can distinguish $\Lambda$CDM from alternative models of gravity. We find $E_G= 0.31^{+0.06}_{-0.05}$ for ACT and CMASS data at 68.28\% confidence level, and $E_G = 0.49^{+0.14}_{-0.11}$ for ACT and LOWZ. Systematic errors are estimated to be 3\% and 4\% respectively. Including CMB lensing information from Planck PR4 results in $E_G = 0.34^{+0.05}_{-0.05}$ with CMASS and $E_G= 0.43^{+0.11}_{-0.09}$ with LOWZ. These are consistent with predictions for the $\Lambda$CDM model that best fits the Planck CMB anisotropy and SDSS BOSS BAO, where $E_G^{\rm GR} (z_{\rm eff} = 0.555) = 0.401\pm 0.005$ for CMB lensing combined with CMASS and $E_G^{\rm GR} (z_{\rm eff} = 0.316) = 0.452\pm0.005$ combined with LOWZ. We also find $E_G$ to be scale independent, with PTE $>5\%$, as predicted by general relativity. The methods developed in this work are also applicable to improved future analyses with upcoming spectroscopic galaxy samples and CMB lensing measurements.
Comment: 33 pages, 21 figures, prepared for submission to PRD
Comment: 33 pages, 21 figures, prepared for submission to PRD